Mathematics 9709 · AS & A Level · Forces and equilibrium

Forces and equilibrium — practice question

Four forces acting at one point lie in the same plane. Their magnitudes are $10\,\text{N}$, $F\,\text{N}$, $G\,\text{N}$ and $2F\,\text{N}$. The directions of the forces are shown in the diagram.
(a)[5]

Assuming that the forces are in equilibrium, determine the values of $F$ and $G$.

(b)[2]

If $F = 3$ instead, determine the value of $G$ for which the resultant of the forces is perpendicular to the $10\,\text{N}$ force.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Try resolving the forces in either the vertical or horizontal direction.

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